85669 has 2 divisors, whose sum is σ = 85670. Its totient is φ = 85668.

The previous prime is 85667. The next prime is 85691. The reversal of 85669 is 96658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 12769 = 270^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 85669 - 2¹ = 85667 is a prime.

It is a super-2 number, since 2×85669² = 14678355122, which contains 22 as substring.

Together with 85667, it forms a pair of twin primes.

85669 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42834 + 42835.

It is an arithmetic number, because the mean of its divisors is an integer number (42835).

2⁸⁵⁶⁶⁹ is an apocalyptic number.

It is an amenable number.

85669 is a deficient number, since it is larger than the sum of its proper divisors (1).

85669 is an equidigital number, since it uses as much as digits as its factorization.

85669 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 85669 is about 292.6926715857. The cubic root of 85669 is about 44.0833475279.

It can be divided in two parts, 85 and 669, that multiplied together give a palindrome (56865).

The spelling of 85669 in words is "eighty-five thousand, six hundred sixty-nine".